44ed6: Difference between revisions

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~~'''~~44ed6~~''' divides the perfect nineteenth (6:1 ratio) into 44 equal tones of 70.499 cents each. It~~ is closely related to [[~~17edo|~~17edo]] and [[~~27edt|~~27edt]], and like them is an excellent no-fives ~~tuning in the~~ 13 ~~odd~~ limit. It also has good matches for the 23rd and 25th ~~harmonics~~. Like 27edt, its octaves are slightly flat, albeit less so. The octave of 44ed6 is 1198.48 cents: about a cent and a half flat. The ~~third~~ harmonic ~~(tritave)~~ is sharp by the same amount, while the 7th, 11th, and 13th harmonics are all sharp by 15, 8, and 0.9 cents, respectively.

[[~~Category:17edo~~]]

[[~~Category:27edt~~]]

[[~~Category:Ed6~~]]

== Theory ==

44ed6 is closely related to [[17edo]] and [[27edt]], and like them is an excellent [[no-fives subgroup temperaments|no-5]] [[13-limit]] tuning. It also has good matches for the [[23/1|23rd]] and [[25/1|25th]] [[harmonic]]s. Like 27edt, its [[2/1|octaves]] are slightly flat, albeit less so. The octave of 44ed6 is 1198.48 cents: about a cent and a half flat. The [[3/1|3rd harmonic]] is sharp by the same amount, while the [[7/1|7th]], [[11/1|11th]], and [[13/1|13th harmonics]] are all sharp by 15.1, 8.1, and 0.9 cents, respectively.

=== Harmonics ===

{{Harmonics in equal|44|6|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 44ed6 (continued)}}

=== Subsets and supersets ===

Since 44 factors into primes as {{nowrap| 2<sup>2</sup> × 11 }}, 44ed6 has subset ed6's {{EDs|equave=6| 2, 4, 11, and 22 }}.

== Intervals ==

== See also ==

* [[10edf]] – relative edf

* [[17edo]] – relative edo

* [[27edt]] – relative edt

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-'''44ed6''' divides the perfect nineteenth (6:1 ratio) into 44 equal tones of 70.499 cents each. It is closely related to [[17edo|17edo]] and [[27edt|27edt]], and like them is an excellent no-fives tuning in the 13 odd limit. It also has good matches for the 23rd and 25th harmonics. Like 27edt, its octaves are slightly flat, albeit less so. The octave of 44ed6 is 1198.48 cents: about a cent and a half flat. The third harmonic (tritave) is sharp by the same amount, while the 7th, 11th, and 13th harmonics are all sharp by 15, 8, and 0.9 cents, respectively.
+{{Infobox ET}}
-[[Category:17edo]]
+{{ED intro}}
-[[Category:27edt]]
-[[Category:Ed6]]
+== Theory ==
+ed6 is closely related to [[17edo]] and [[27edt]], and like them is an excellent [[no-fives subgroup temperaments|no-5]] [[13-limit]] tuning. It also has good matches for the [[23/1|23rd]] and [[25/1|25th]] [[harmonic]]s. Like 27edt, its [[2/1|octaves]] are slightly flat, albeit less so. The octave of 44ed6 is 1198.48 cents: about a cent and a half flat. The [[3/1|3rd harmonic]] is sharp by the same amount, while the [[7/1|7th]], [[11/1|11th]], and [[13/1|13th harmonics]] are all sharp by 15.1, 8.1, and 0.9 cents, respectively.
+=== Harmonics ===
+{{Harmonics in equal|44|6|1|intervals=integer|columns=11}}
+{{Harmonics in equal|44|6|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 44ed6 (continued)}}
+=== Subsets and supersets ===
+Since 44 factors into primes as {{nowrap| 2<sup>2</sup> × 11 }}, 44ed6 has subset ed6's {{EDs|equave=6| 2, 4, 11, and 22 }}.
+== Intervals ==
+{{Interval table}}
+== See also ==
+* [[10edf]] – relative edf
+* [[17edo]] – relative edo
+* [[27edt]] – relative edt